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Finding the Fourth Proportional to 35,657.76, 53,482.53 and 9,364.59

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Solution

The fourth proportional to 35,657.76, 53,482.53 and 9,364.59 is: 14,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.76 : 53,482.53 = 9,364.59 : x
  2. Step 2: Convert to fraction form
    35,657.76/53,482.53 = 9,364.59/x
  3. Step 3: Cross multiply
    35,657.76x = 53,482.53 × 9,364.59
  4. Step 4: Simplify right side
    35,657.76x = 500,841,965.61
  5. Step 5: Solve for x
    x = 500,841,965.61/35,657.76
  6. Step 6: Final answer
    x = 14,045.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.